ProofInv.nsm_flood.cell: def of minebender-game@1.0.0.0
Import: import minebender-game@1.0.0.0/proof_inv.bend as ProofInv
Lines 358-375 of minebender-game@1.0.0.0/proof_inv.bend: https://jend.leeeet.dev/read.txt?path=minebender-game@1.0.0.0/proof_inv.bend&start_line=358&end_line=375

import Base
import minebender-game@1.0.0.0/types.bend as T
import minebender-game@1.0.0.0/board.bend as B
import minebender-game@1.0.0.0/game.bend as G
import minebender-game@1.0.0.0/LAWS.bend as L
import minebender-game@1.0.0.0/proof_base.bend as P
import minebender-game@1.0.0.0/proof_flood.bend as PF

def nsm_flood.cell(+n: Nat, +work: List<&2, G.Work>, +hd: Bool, +w: Nat, +h: Nat, +layout: T.Grid(Bool),
  +shown: T.Grid(Bool), +p0: T.Pos, +safe: {L.mine(layout, p0) == False{} : Bool},
  +ok: {PF.works_ok(work, w, h, layout, p0) == True{} : Bool},
  +ns: {nsm(w, h, layout, shown) == True{} : Bool}, +q: T.Pos, +on: {B.on_board(w, h, q) == True{} : Bool},
  +b: Bool, +be: {Bool.and(B.at(Bool, False{}, G.flood(n, work, hd, w, h, layout, shown), q), B.mine(layout, q)) == b : Bool}) ->
  {nsm_f(LS{layout, G.flood(n, work, hd, w, h, layout, shown)}, q) == True{} : Bool}:
  match b:
    case False{}:
      +F = G.flood(n, work, hd, w, h, layout, shown)
      %Equal.sym(Bool, Bool.and(B.at(Bool, False{}, F, q), B.mine(layout, q)), False{}, be) :
        {Bool.not(_) == True{} : Bool}
      {==}
    case True{}:
      +F = G.flood(n, work, hd, w, h, layout, shown)
      +fq = P.and_true_l(B.at(Bool, False{}, F, q), B.mine(layout, q), be)
      +mq = P.and_true_r(B.at(Bool, False{}, F, q), B.mine(layout, q), be)
      nsm_flood.new(n, work, hd, w, h, layout, shown, p0, safe, ok, q, fq, mq,
        nsm_use(w, h, layout, shown, ns, q, on, mq))

Uses (22):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool.and
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool.not
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.sym
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=List
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/LAWS.bend&name=mine
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/board.bend&name=at
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/board.bend&name=mine
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/board.bend&name=on_board
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/game.bend&name=Work
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/game.bend&name=flood
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/proof_base.bend&name=and_true_l
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/proof_base.bend&name=and_true_r
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/proof_flood.bend&name=works_ok
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/proof_inv.bend&name=LS
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/proof_inv.bend&name=nsm
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/proof_inv.bend&name=nsm_f
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/proof_inv.bend&name=nsm_flood.new
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/proof_inv.bend&name=nsm_use
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/types.bend&name=Grid
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/types.bend&name=Pos